Cargando…

Applied engineering mathematics /

Annotation This book strives to provide a concise and yet comprehensive cover-age of all major mathematical methods in engineering. Topics in-clude advanced calculus, ordinary and partial differential equations, complex variables, vector and tensor analysis, calculus of variations, integral transfor...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Yang, Xin-She
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK : Cambridge International Science Publishing, 2007.
Temas:
Acceso en línea:Texto completo

MARC

LEADER 00000cam a2200000Ma 4500
001 EBOOKCENTRAL_ocn503447574
003 OCoLC
005 20240329122006.0
006 m o d
007 cr cn|||||||||
008 071223s2007 enka ob 001 0 eng d
040 |a MEAUC  |b eng  |e pn  |c MEAUC  |d OCLCQ  |d N$T  |d E7B  |d OCLCQ  |d OCLCF  |d DKDLA  |d OCLCQ  |d OCLCO  |d YDXCP  |d AU@  |d OCLCQ  |d EBLCP  |d OCLCQ  |d AZK  |d AGLDB  |d MOR  |d PIFAG  |d ZCU  |d MERUC  |d OCLCQ  |d JBG  |d OCLCQ  |d U3W  |d STF  |d WRM  |d OCLCQ  |d VTS  |d NRAMU  |d ICG  |d INT  |d VT2  |d OCLCQ  |d DKC  |d OCLCQ  |d M8D  |d OCLCQ  |d ITD  |d UKCRE  |d CN6UV  |d AJS  |d OCLCO  |d OCLCQ  |d OCLCO  |d OCLCL 
019 |a 607914765  |a 647794674  |a 842264699  |a 961542019  |a 962635159  |a 988504196  |a 992000603  |a 1037910490  |a 1038637161  |a 1045515210  |a 1055356479  |a 1058124382  |a 1058778996  |a 1081207679  |a 1153456875  |a 1193064911  |a 1228605780 
020 |a 9781904602996  |q (electronic bk.) 
020 |a 1904602991  |q (electronic bk.) 
020 |a 1904602568 
020 |a 9781904602569 
020 |z 9781904602569 
024 3 |a 9781904602569 
029 1 |a AU@  |b 000050894520 
029 1 |a AU@  |b 000051451590 
029 1 |a DEBBG  |b BV043157449 
029 1 |a DEBBG  |b BV044085310 
029 1 |a DEBSZ  |b 421893907 
029 1 |a NZ1  |b 13336136 
035 |a (OCoLC)503447574  |z (OCoLC)607914765  |z (OCoLC)647794674  |z (OCoLC)842264699  |z (OCoLC)961542019  |z (OCoLC)962635159  |z (OCoLC)988504196  |z (OCoLC)992000603  |z (OCoLC)1037910490  |z (OCoLC)1038637161  |z (OCoLC)1045515210  |z (OCoLC)1055356479  |z (OCoLC)1058124382  |z (OCoLC)1058778996  |z (OCoLC)1081207679  |z (OCoLC)1153456875  |z (OCoLC)1193064911  |z (OCoLC)1228605780 
037 |b 00137832 
050 4 |a TA330  |b .Y36 2007eb 
072 7 |a TEC  |x 021000  |2 bisacsh 
082 0 4 |a 620.100151  |2 22 
049 |a UAMI 
100 1 |a Yang, Xin-She. 
245 1 0 |a Applied engineering mathematics /  |c Xin-She Yang. 
264 1 |a Cambridge, UK :  |b Cambridge International Science Publishing,  |c 2007. 
300 |a 1 online resource (x, 319 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a data file  |2 rda 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
520 8 |a Annotation This book strives to provide a concise and yet comprehensive cover-age of all major mathematical methods in engineering. Topics in-clude advanced calculus, ordinary and partial differential equations, complex variables, vector and tensor analysis, calculus of variations, integral transforms, integral equations, numerical methods, and prob-ability and statistics. Application topics consist of linear elasticity, harmonic motions, chaos, and reaction-diffusion systems. . This book can serve as a textbook in engineering mathematics, mathematical modelling and scientific computing. This book is organised into 19 chapters. Chapters 1-14 introduce various mathematical methods, Chapters 15-18 concern the numeri-cal methods, and Chapter 19 introduces the probability and statistics. 
505 0 |a Intro -- Preface -- Acknowledgements -- About the Author -- Contents -- 1. Calculus -- 1.1 Differentiations -- 1.2 Integrations -- 1.3 Partial Differentiation -- 1.4 Multiple Integrals -- 1.5 Some Special Integrals -- 2. Vector Analysis -- 2.1 Vectors -- 2.1.1 Dot Product and Norm -- 2.2 Vector Algebra -- 2.3 Applications -- 3. Matrix Algebra -- 3.1 Matrix -- 3.2 Determinant -- 3.3 Inverse -- 3.4 Matrix Exponential -- 3.5 Hermitian and Quadratic Forms -- 3.6 Solution of linear systems -- 4. Complex Variables -- 4.1 Complex Numbers and Functions -- 4.2 Hyperbolic Functions -- 4.3 Analytic Functions -- 4.4 Complex Integrals -- 5. Ordinary Differential Equations -- 5.1 Introduction -- 5.2 First Order ODEs -- 5.3 Higher Order ODEs -- 5.4 Linear System -- 5.5 Sturm-Liouville Equation -- 5.5.1 Bessel Equation -- 6. Recurrence Equations -- 6.1 Linear Difference Equations -- 6.2 Chaos and Dynamical Systems -- 6.3 Self-similarity and Fractals -- 7. Vibration and Harmonic Motion -- 7.1 Undamped Forced Oscillations -- 7.2 Damped Forced Oscillations -- 7.3 Normal Modes -- 7.4 Small Amplitude Oscillations -- 8. Integral Transforms -- 8.1 Fourier Transform -- 8.2 Laplace Transforms -- 8.3 Wavelet -- 9. Partial Differential Equations -- 9.1 First Order PDE -- 9.2 Classification -- 9.3 Classic PDEs -- 10. Techniques for Solving PDEs -- 10.1 Separation of Variables -- 10.2 Transform Methods -- 10.3 Similarity Solution -- 10.4 Travelling Wave Solution -- 10.5 Green's Function -- 10.6 Hybrid Method -- 11. Integral Equations -- 11.1 Calculus of Variations -- 11.2 Integral Equations -- 11.3 Solution of Integral Equations -- 12. Tensor Analysis -- 12.1 Notations -- 12.2 Tensors -- 12.3 Tensor Analysis -- 13. Elasticity -- 13.1 Hooke's Law and Elasticity -- 13.2 Maxwell's Reciprocal Theorem -- 13.3 Equations of Motion -- 13.4 Airy Stress Functions. 
505 8 |a 13.5 Euler-Bernoulli Beam Theory -- 14. Mathematical Models -- 14.1 Classic Models -- 14.2 Other PDEs -- 15. Finite Difference Method -- 15.1 Integration of ODEs -- 15.2 Hyperbolic Equations -- 15.3 Parabolic Equation -- 15.4 Elliptical Equation -- 16. Finite Volume Method -- 16.1 Introduction -- 16.2 Elliptic Equations -- 16.3 Parabolic Equations -- 16.4 Hyperbolic Equations -- 17. Finite Element Method -- 17.1 Concept of Elements -- 17.2 Finite Element Formulation -- 17.3 Elasticity -- 17.4 Heat Conduction -- 17.5 Time-Dependent Problems -- 18. Reaction Diffusion System -- 18.1 Heat Conduction Equation -- 18.2 Nonlinear Equations -- 18.3 Reaction-Diffusion System -- 19. Probability and Statistics -- 19.1 Probability -- 19.2 Statistics -- References -- Appendix A Mathematical Formulas -- A.1 Differentiations and Integrations -- A.2 Vectors and Matrices -- A.3 Asymptotics -- A.4 Special Integrals -- Index. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Engineering mathematics. 
650 0 |a Mathematical analysis. 
650 6 |a Mathématiques de l'ingénieur. 
650 6 |a Analyse mathématique. 
650 7 |a TECHNOLOGY & ENGINEERING  |x Material Science.  |2 bisacsh 
650 7 |a Engineering mathematics  |2 fast 
650 7 |a Mathematical analysis  |2 fast 
758 |i has work:  |a Applied engineering mathematics (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGF4HcmTvYDbWQD9rTf3Xq  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Yang, Xin-She.  |t Applied engineering mathematics.  |d Cambridge : Cambridge International Science, 2007  |z 9781904602576  |w (OCoLC)148912713 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3007748  |z Texto completo 
938 |a EBL - Ebook Library  |b EBLB  |n EBL3007748 
938 |a ebrary  |b EBRY  |n ebr10303282 
938 |a EBSCOhost  |b EBSC  |n 311050 
938 |a YBP Library Services  |b YANK  |n 6964987 
938 |a YBP Library Services  |b YANK  |n 3291073 
994 |a 92  |b IZTAP